Date of Award

Winter 12-9-2016

Degree Type

Honors Thesis

Department

Mathematics

First Advisor

Peter Shive

Abstract

The history of Verhulst's logistic equation is discussed. Bifurcation diagrams and the importance of the discrete logistic equation in chaos theory are introduced. The results of adding noise to the discrete logistic equation are computed. Surprising linearity is discovered in the relationship between error bounds placed on the period two region and the amount of noise added to the system.

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